put the steps for the deriving for the area of a triangle in the correct order​

Put The Steps For The Deriving For The Area Of A Triangle In The Correct Order

Answers

Answer 1

Answer:

See Below.

Step-by-step explanation:

Steps:

1) Draw the altitude of the triangle from Vertex B to side CA and label it h.

2) Find [tex]\sin(C)[/tex] of the triangle.*

3) [tex]\displaystyle \sin(C)=\frac{h}{a}[/tex]

4) Solve for h.

5) [tex]h=a\sin(C)[/tex]

6) Substitute expression for h into traditional formula for area of a triangle,[tex]\displaystyle A=\frac{1}{2}bh[/tex].

7) [tex]\displaystyle A=\frac{1}{2}ba\sin(C)=\frac{1}{2}ab\sin(C)[/tex]

(We acquire two right triangles after drawing h since it is an altitude. We will use the smaller of the two.)


Related Questions

Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)

Answers

Answer:

x-intercept: (-40, 0)

y-intercept: (0, 15)

Step-by-step explanation:

The x-intercept is the value of x when y = 0. By looking at the graph, you can tell when y = 0, x = - 40. The x-intercept is the point that crosses the x-axis.

The y-intercept is the value of y when x = 0. By looking at the graph, you can tell y = 15 when x =0. The y-intercept is the point that crosses the y-axis.

how does the graph below change between point A and point B?​

Answers

I am not able to solve this because there is no graph shown.

(30 points!)
determine which lines are parallel??​

Answers

Answer:

looks like the parallel lines are "l" and "n"

Step-by-step explanation:

when two lines are parallel, they should be across from each other going the same way. For example: / / , or \ \  sometimes even on top of each other. It can't be line "m" because it seems a little slanted. Parallel lines have to be the same length and same size. It can't be line "t" because the line is going in a different direction.

Vaughn paints his porch floor and also the porch floors of 9 neighbors. Each floor is a rectangle that is 8.4 feet long and 6.9 feet wide.

Answers

Answer:

579.6 ft²

Step-by-step explanation:

10(8.4×6.9)

Answer:

521.64

Step-by-step explanation:

first you do 8.4 times 6.9 which gets you 57.96 and then you multiply that my 9 which gets you 521.64.

Please I need some answers one or two are fine

Answers

Answer:

A. 10,000

B. 1,000,000

C. 10,000,000,000

D. 1,000,000,000,000

Step-by-step explanation:

10,000/ 10∧4 = 1

1,000,000/ 10∧6 = 1

10,000,000,000/ 10∧10 = 1

1,000,000,000,000/ 10∧12 = 1

Hope this helps! Good luck!

what is -3(2u-3w-4)

please answerr

Answers

Answer:

-6u +9 w +12

Step-by-step explanation:

The answer is 6c—9w—12

What is this simplified step by step

Answers

I say it’s 28 because I used a calculator sooo this was easy so yeah the answer is 28

what is 3 + 2x = -6x + 4​

Answers

Answer:

x = 1/8

Step-by-step explanation:

Madison's checking account had a balance of - $45. Then she wrote a check to pay her utility bill for $34. Write an expression to represent Madison's situation.

Answers

-$45 - 34 = -79 explain when you subtract a negative to a positive you come out with a negative

Make 0.26 and a fraction

Answers

Answer:13/50

Step-by-step explanation:

Answer: 26/100 or 13/50

Step-by-step explanation: 0.26 means in word form 26 hundreths. so you put 26 over 100. its your choice if you want to simplify though

how do you take the square root of a perfect square variable​

Answers

Search Results
Featured snippet from the web
Answer: “Just take the number and multiply it by itself! If you square an integer, you get a perfect square!”

The surface area of a sphere with a diameter of 12 units is:

Answers

Answer:

452.39

Step-by-step explanation:

Using the formula

A=4pi r ^2

D=2r

A=pie r d^2

= pi. 12^2

=452.39

Use base ten blocks or an area model to find the product. 2.1 x 1.5

Answers

It’s 3.15... I hope it helps!!! Have an amazing day love

Point J is between H and K on line segment HK. Use the given information to solve for X. Also find the length of line segment HJ.
HK = 33
HJ = 3x-4
JK = 2x+7
X= ?
The length of line segment HJ= ?

Answers

Answer:

x=-3, so now u plug it in, 3(-3)-4=?

answer: HJ is -13.

Using line segments concepts, it is found that:

The value of x is 6.The length of line segment HJ is 14.

-------------------------------

Point J is between H and K in a line segment HK, thus:

[tex]HK = HJ + JK[/tex]

-------------------------------

We are given that:

[tex]HK = 33[/tex][tex]HJ = 3x - 4[/tex][tex]JK = 2x + 7[/tex]

Thus, replacing into the equation, it is possible to solve for x.

-------------------------------

[tex]HK = HJ + JK[/tex]

[tex]33 = 3x - 4 + 2x + 7[/tex]

[tex]5x + 3 = 33[/tex]

[tex]5x = 30[/tex]

[tex]x = \frac{30}{5}[/tex]

[tex]x = 6[/tex]

The value of x is 6.

-------------------------------

The length of line segment HJ is:

[tex]HJ = 3x - 4 = 3(6) - 4 = 18 - 4 = 14[/tex]

A similar problem is given at https://brainly.com/question/24476050

(-2k^3-7k^2+5k) + (6k^2+3k)​

Answers

Answer:

-2k³+6k²+k+9

Step-by-step explanation:

QUESTION 1 Let’s say that an investigator is interested in the effects of caring for a person with ALS (Lou Gehrig’s disease) on physical and mental health. In particular, the researcher wants to know whether ALS caregivers suffer from clinically elevated levels of depression. They administer the Beck Depression Inventory (BDI) to 20 ALS caregivers. Scores on the BDI range from zero to 40. Scores at or above 25 are considered to reflect clinically significant levels of depression. The mean depression score for the 20 caregivers in the sample is 28. The standard deviation for this sample is 3.0. Do these data support the hypothesis that the mean depression score for ALS caregivers is significantly higher than the cutoff score for depression of 25? This example is not a perfect example of a "true experiment," so the independent and dependent variable are not as clearly identifiable as some other examples. In this example, what is the dependent/outcome variable? Beck Depression Inventory scores How many ALS caregivers there are in the study Whether the caregivers are taking care of someone who has ALS vs. cancer The ALS caregivers vs. the national norms for adults

Answers

Answer:

The decision rule is

Reject the null hypothesis

The conclusion is  

There is sufficient evidence to conclude that the data support the hypothesis that the mean depression score for ALS caregivers is significantly higher than the cutoff score for depression of 25

dependent/outcome variable

Generally the dependent variable is  Beck Depression Inventory (BDI) scores because the score are dependent on the ALS caregivers

Step-by-step explanation:

From the question we are told that

  The sample size is  n = 20

  The population mean is  [tex]\mu  =  25[/tex]

   The sample mean is  [tex]\= x  = 28[/tex]

  The standard deviation is  [tex] s  =  3.0[/tex]

  The null hypothesis is [tex]H_o  :  \mu  =  25[/tex]

  The alternative hypothesis is  [tex]H_a  :  \mu  >  25[/tex]

  Generally the test statistics is mathematically represented as

     [tex]z = \frac{\= x - \mu }{ \frac{s}{\sqrt{n} } }[/tex]

=>  [tex]z= \frac{ 28 -25 }{ \frac{3.0}{\sqrt{20 } } }[/tex]

=>  [tex]z=  4.47[/tex]

 Generally the probability of  z from the z- table is

   [tex]p-value  =  P(Z >  4.47) =  0.000[/tex]

From the values obtained we see that  [tex]p-value  <  \alpha[/tex] hence

The decision rule is

Reject the null hypothesis

The conclusion is  

There is sufficient evidence to conclude that the data support the hypothesis that the mean depression score for ALS caregivers is significantly higher than the cutoff score for depression of 25

Generally the dependent variable is  Beck Depression Inventory (BDI) scores because the score are dependent on the ALS caregivers

put -3, 1 3/4, -0.5 and 3 least to greatest to least.​

Answers

Answer:

-3, -0.5, 1 3/4, 3

Step-by-step explanation: in a number line negative is always less than positive so the bigger the negative number the more is goes down on the number line so that's why -3 is smaller then -0.5 because -0.5 is closer to positive than -3

A small airplane flew 104 miles in 50 minutes. At this rate, how many miles can it fly in one hour? (50 minutes = 56 hour)

Answers

Answer:

124.8 miles

Step-by-step explanation:

104 divided by 5 equals 20.8, then 20.8 times 6 equals 124.8

Which number line expression shows how to find the distance from 2 to -5?​

Answers

Answer:

5+2=7

Step-by-step explanation:

when your cousin was born, she was 21 4/5 inches long. when your friends was born he was 21 3/4 inches long. who was longer at birth? how much longer?​

Answers

Answer:

cousin

1/20 inches

Step-by-step explanation:

Hi there !

cousin

21 4/5 = (21×5+4)/5 = 109/5

friend

21 3/4 = (21×4+3)/4 = 78/4

lcm(4 ; 5) = 20

⁴⁾109/5 = 436/20 (cousin)

⁵⁾87/4 = 435/20 (friend)

436/20 > 435/20

cousin > friend

436/20 - 435/20 = 1/20 inches longer (cousin)

Good luck !

Of the 50 students in mr motchells classes 60% are girls on friday 20% of the girls in the classes wore jeans how mnay girls wore jeans

Answers

Answer:it would be 20

Step-by-step explanation:

Answer: 20.

Step-by-step explanation: 60% of 50 is 30 (students). 20% of it would be 20 (students).

Hahaha A little help? Plss

Answers

Answer:

Step-by-step explanation:

6/58=3/29

Answer:

3/29

Step-by-step explanation:

The ratio of the weight of an object on Mars to the weight of an object on Earth is 0.4 to 1. How much will a 145 lb astronaut weigh on Mars?
A 145 lb astronaut will weight on Mars.
(Round to the nearest tenth.)

Answers

Answer:

58 lbs

Step-by-step explanation:

if it weighs 1 pounds on earth, it weighs 0.4 pounds on Mars. So multiply 145 by 0.4 to get the answer

In the year 2004, a survey was undertaken to find whether citizens of a certain political party supported their party's candidate for governor. In a sample of 300 citizens of this party, 95% of them expressed support for their party's candidate. A similar survey was conducted four years later and showed that 91% of a sample of 350 citizens of this party expressed support for their party's candidate. Construct a 95% confidence interval for the difference in population proportions of citizens of this party who supported their gubernatorial candidate in 2004 and citizens of this party who supported their gubernatorial candidate four years later. Assume that random samples are obtained and the samples are independent. (Round your answers to three decimal places.) z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576

Answers

Answer:

The 95% confidence interval for the difference in population proportions is (0.001, 0.079).

Step-by-step explanation:

The (1 - α)% confidence interval for the difference in population proportions is:

[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha /2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}[/tex]

The information provided is as follows:

[tex]\hat p_{1}=0.95\\\hat p_{2}=0.91\\n_{1}=300\\n_{2}=350\\[/tex]

The critical value of z for 95% confidence level is 1.96.

Compute the 95% confidence interval for the difference in population proportions as follows:

[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha /2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}[/tex]

     [tex]=(0.95-0.91)\pm 1.96\times\sqrt{\frac{0.95(1-0.95)}{300}+\frac{0.91(1-0.91)}{350}}\\\\=0.04\pm 0.0388\\\\=(0.0012, 0.0788)\\\\\approx (0.001, 0.079)[/tex]

Thus, the 95% confidence interval for the difference in population proportions is (0.001, 0.079).

What is 9.2568×10−3 written in standard form?

Answers

Answer:

80 9. 0.5 0.06 0.008 (89.568)

Step-by-step explanation:

9.2568x 10-3 would equal 89.568

3
d
Gulliver's Travels
11
10
9
8
Distance imesi
2
1 2 3 4 5 7 8 9 10
Time thous)
Given the graph of the function D(t) of Gulliver's Travels. The function d(t) represents Gulliver's
distance from home after t hours. What is the value of D(3)? *
(1 Point)

Answers

Answer:  D(3) = 4 miles according to the graph.

Step-by-step explanation:

Look for the 3 on the time scale at the bottom of the graph. Follow the grid line straight up to where it meets the graphed line. Follow the grid line to the distance scale at the left to find the value at that point. It is 4 miles.

is it A B C D Pls tell me ​

Answers

20 is 1000 times of 0.02. Correct answer is option C.

What is Decimal ?

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.

Here, given value

0.02 = 002/100

        = 2/100

On multiply numerator and denominator by 10, we get

0.02 = 20/1000

or 20 = 1000 X 0.02

Thus, 20 is 1000 times of 0.02.

Learn more about Decimal Number from:

https://brainly.com/question/4708407

#SPJ1

please helphejejjwjwjw​

Answers

Answer:

B

Step-by-step explanation:

3x -2

the set of letters in the word mathematics is finite?​

Answers

Answer:

Yes

Step-by-step explanation:

10 yd
4 yd
What is the area of the shaded portion to the nearest hundredth? Enter the answer in the box.
square yards

What is the answer of the green portion?

Answers

Answer : The area of the shaded portion is 33.72 yd².

Step-by-step explanation :

Given:

Length of the box = 10 yd

Width of the box = 4 yd

Area of the shaded portion = Area of rectangular box - Area of half circle

First we have to calculate the area of rectangular box.

Area of rectangular box = Length of the box × Width of the box

Area of rectangular box = 10 yd × 4 yd

Area of rectangular box = 40 yd²

Now we have to calculate the area of half circle.

As we know that:

Area of circle = π × r²

where,

r = radius of circle

Area of half circle = [tex]\frac{\pi \times r^2}{2}[/tex]

Radius of circle = [tex]\frac{4yd}{2}=2yd[/tex]

Area of half circle = [tex]\frac{3.14 \times (2yd)^2}{2}[/tex]

Area of half circle = 6.28 yd²

Now we have to calculate the area of the shaded portion.

Area of the shaded portion = Area of rectangular box - Area of half circle

Area of the shaded portion =  40 yd² - 6.28 yd²

Area of the shaded portion =  33.72 yd²

Therefore, the area of the shaded portion is 33.72 yd².

Other Questions
Which abbreviations indicate a prescription is for the eyes? Check all that apply. au ou ad od os otic write programs in Q Basic for the following a. To accept radius and find area of circle. (hint: A=22/7*R*R)b. to print the odd number from 1 to 20 using FOR........NEXT. 4 of 10Jim was thinking of a number. Jim adds 20 to it, then doubles it and gets an answer of 99.2.What was the original number? Melanie has pieces of train track that are 8 inches long that she is connecting together to form a track that her train can travel on. Martin is also trying to construct a track for his train but is using track pieces that are 20 inches long. How long will the shortest track be if the track that Melanie builds ends up being the same length as Martin's track? Rewrite the following sentence using a direct object pronounEllos hablan espaniol.O Ellos se hablan.O Ellos los hablan.O Ellos la hablan.O Elios lo hablan. Ben wants to buy 2 blue sweaters for $116 each and 3 brown sweaters for $42 each.How much will Ben spend on the five sweaters?Ben will spend $ on the five sweaters. Rephrase: what is 35% of $120? Hello, I would like to start a movement for both black lives matter and women's rights.If you support this cause please comment "Include women in the sequel" and "Black Lives Matter", or "BLM". Two sides of a triangle have lengths 5 and 4. Which of the following can NOT be the lengthof the third side?A.1B.4C.2D.3 A coral reef grows 0.12 minutes every week. How much does it grow in 8 weeks? Determine the slope of each line, if any. Identify which of the lines is vertical or horizontal.1. f(x)=2x-52. f(x)= -3x + 7 3. f(x) = x + 64. f(x) = 1/4x -85. f(x)= 1/4x-1/2 What is a scientific theory Anna and Hannah have \$80$80dollar sign, 80 each. Their friend offered to invest their money, promising to return a sum rrr times as great as what they invested. Anna was suspicious, so she invested \$20$20dollar sign, 20 only, but Hannah invested her entire \$80$80dollar sign, 80. Fortunately, the friend did indeed return a sum rrr times as great to each.They decided to make another investment. This time, Hannah invested all of the money returned to her, and Anna invested the money returned to her and the remaining \$60$60dollar sign, 60. Again, they got a sum rrr times as great as what they invested. In the end, Hannah had twice the amount Anna had.Write an equation in terms of rrr that models the situation. Can someone help me plz what is the color that makes purple ?ANSWER RED)BLUE Help with this question plzzzzzz Why does the moon cycle from new moon to the full moon A and B are complementary. mA = 46. Find mB. Which counties are south central Asian Summary4Choose the best summary for the entire passage.In baseball history, one of the most famous gamestook place between the Brooklyn Dodgers and the NewYork Giants. It was a game to decide which team wouldwin the National League pennant in 1951. Throughout theseason, both teams had impressive winning recordsHowever, by the end of the season, the two teams hadtied and had to play each other in a deciding three-gameIn game 3 of the race for National League pennant, Bobby Thomson hit the winning homerun. Thathomerun was called "The Shot Heard 'Round the World" because it led to the New York Giantsvictory over the Brooklyn DodgersplayoffOn October 3, 1951, the Dodgers and the Giantsplayed game 3. On that day, America witnessed thehomerun that would become known as "The Shot Heard"Round the World." The homerun was hit by Giants'Bobby Thomson. It was a three-run drive that wouldeventually lead to a Giants' victory over the Dodgers. Thefinal score was 54The game was a defining moment for baseballbecause it was between rivals from across the town. Itwas also an amazingly well played game. Mostimportantly, the game determined who would play in theWorld Series. The Giants ended up losing the series tothe Yankees Even so, the Giants win over the Dodgersovershadowed the World Series that year. The 1951 baseball game between the Brooklyn Dodgers and the New York Giants is one of mostfamous games. It's legendary because it was an exciting game and decided which team would go tothe World Series. The Giants win the game with the Bobby Thomson's memorable homerun. The Brooklyn Dodgers and the New York Giants played in 1951 so that the winner of NationalLeague could be determined. There, Bobby Thomson hit a homerun that won the game for theGiants. It was a three-run drive that made the score 5-4 in the favor of the New York GiantsOD. The game between the Brooklyn Dodgers and the New York Giants helped determine who wouldplay in the 1951 World Series. The winning team would Have to play the New York Yankees. TheGiants won two out of the three games. It was a very exciting game.